Pith Number

pith:7YWIOTP6

pith:2013:7YWIOTP6T3E6KESLH3I56L3TBD

not attested not anchored not stored refs pending

On the definition of mixed Hodge modules

Morihiko Saito

arxiv:1307.2140 v5 · 2013-07-08 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7YWIOTP6T3E6KESLH3I56L3TBD}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:17:46.155467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe2c874dfe9ec9e5124b3ed1df2f7308ce70c68ef421e5543a3c36cc4700f395

Aliases

arxiv: 1307.2140 · arxiv_version: 1307.2140v5 · doi: 10.48550/arxiv.1307.2140 · pith_short_12: 7YWIOTP6T3E6 · pith_short_16: 7YWIOTP6T3E6KESL · pith_short_8: 7YWIOTP6

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/7YWIOTP6T3E6KESLH3I56L3TBD \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: fe2c874dfe9ec9e5124b3ed1df2f7308ce70c68ef421e5543a3c36cc4700f395

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c4ca6959af243ee7e65522749bab525028e73306d3c2e544035b224346bcd92",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-07-08T16:06:11Z",
    "title_canon_sha256": "5b590d41190a99b3f4bcbe7b1e0cf868701d4a1dfbf068f4786610b2989d2c71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2140",
    "kind": "arxiv",
    "version": 5
  }
}